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## Main Question or Discussion Point

ΔG=ΔH-TΔS

But the derivation for Gibbs Free Energy is based on q

_{system}and ΔS_{system}=q_{p}/T and isn't q_{p}=ΔH? Which means ΔG=0 always which is obviously wrong.But the derivation for Gibbs Free Energy is based on q

_{surrounding}=-q_{system}so shouldn't the term be equals to 0?